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Artículo
¿Ganará alguna vez algún número, por ejemplo, el ocho, el Premio Pinocho?
(Sociedad Andaluza de Educación Matemática Thales, 2006)
Artículo
Simply connected lie subgroups of the unipotent Lie group of order 4
(Soochow University, Department of Mathematics, 2006-04)
In this paper we obtain simply connected Lie subgroups (up to isomorphism) of the Lie group G4 of upper triangular matrices of order 4 having “1” in its main diagonal. To do it, we determine Lie subalgebras of the Lie ...
Artículo
A constructive method to determine the variety of filiform Lie algebras
(Institute of Mathematics, Czech Academy of Sciences, 2006-12)
In this paper we use cohomology of Lie algebras to study the variety of laws associated with filiform Lie algebras of a given dimension. As the main result, we describe a constructive way to find a small set of polynomials ...
Ponencia
Critical and forcing sets related to the autotopism group of a Latin square
(2006)
In Cryptography, critical sets of any Latin square L can be used to get the access structure of a secret sharing scheme [2, 6] having triples of L as shares. In such a scheme, further information about the symmetry of L ...
Artículo
A particular case of extended isotopisms: Santilli's isotopisms
(Hadronic Press, 2006)
Due to a mathematical necessity, it has been proved that it is convenient to give a new interpretation of the multiplicity of Santilli's isounity Ib = Ib(x, v, t, µ, ρ, ...) of any Santilli's isotopism, as a family of ...
Artículo
On the functoriality of cohomology of categories
(Elsevier, 2006-03)
In this paper we show that the Baues-Wirsching complex used to define cohomology of categories is a 2-functor from a certain 2-category of natural systems of abelian groups to the 2-category of chain complexes, chain ...
Ponencia
Θ-critical sets of Latin squares having Θ as a principal autotopism
(2006)
Any principal autotopism Θ of a Latin square L ∈ LS(n), whose elements are in a set N of n symbols, gives a significant information about the symmetry of L. Although Θ-critical sets of L can be then used in Cryptography ...
Ponencia
Graphs related to principal autotopisms of Latin squares
(2006-07)
Latin squares of order nare equivalent to 1-factorizations of Kn,n. In this way, fixed a principal isotopism Θ=(α,β,ε)∈S3n, where Sn is the symmetric group of the set N={0,1, ..., n−1}, we are going to study in this paper ...